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Doubling |
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Imagine that you begin with one penny, and each day you double the amount of money that you had on the previous day. So, on day 1, you have $0.01; on day 2, you have $0.02; on day 3, you have $0.04; and so on. How much money do you think you will have in 30 days? Believe it or not, a collection of pennies that is doubled every day becomes quite valuable very quickly - after 30 days, it is worth over 5 million dollars! The websites listed below can help you to see how this incredibly rapid growth occurs. |
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Internet Activity |
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Activity 6.1
Click this link to view your assignment for this activity.
http://go.hrw.com/resources/go_mt/e1/c6/EDOUBLE.PDF |
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Adobe Acrobat Reader
You will need Adobe Acrobat Reader to open and print the activity. To download the reader, click "Adobe Acrobat Reader" above.
http://www.adobe.com/products/acrobat/readstep.html |
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Exploration |
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Exponential Growth
This site includes discussion of paper-folding, placing grains of rice on a chessboard, and making noodles! These situations all involve a quantity which is repeatedly doubled. (Note: The author of this site used the symbol ** to denote exponents. So, 2**5 really means 2^5, or 2 to the 5th power.)
http://www.intsoft.com/powers2.html |
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Ask Dr. Math: Squaring Pennies
Dr. Math is a website where you can get answers to all kinds of mathematical questions. Here is Dr. Math's answer to a question that is very similar to the one about doubling a collection of pennies.
http://mathforum.org/dr.math/problems/bortz20.html |
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